91Ó°ÊÓ

Determine the number of triangles ABC possible with the given parts. \(a=50, b=61, A=58^{\circ}\)

Find all indicated roots and express them in rectangular form. Check your results with a calculator. The fourth roots of 81.

Write each complex number in rectangular form. Give exact values for the real and imaginary parts. Do not use a calculator. $$\cos \frac{\pi}{6}+i \sin \frac{\pi}{6}$$

Graph each cycloid for t in the specified interval. $$x=-2 t+2 \sin t, y=-2+2 \cos t ; \text { for } t \text { in }[0,4 \pi]$$

Find all indicated roots and express them in rectangular form. Check your results with a calculator. The square roots of \(-1+i \sqrt{3}\).

Write each complex number in rectangular form. Give exact values for the real and imaginary parts. Do not use a calculator. $$3\left(\cos \frac{5 \pi}{6}+i \sin \frac{5 \pi}{6}\right)$$

Determine the number of triangles ABC possible with the given parts. \(B=54^{\circ}, c=28, b=23\)

Graph each polar equation for \(\theta\) in \(\left[0^{\circ}, 360^{\circ}\right)\). In Exercises \(39-48\), identify the rype of polar graph. $$=8+6 \cos \theta$$

Refer to the guidelines to solve oblique triangles to decide on the procedure to use to solve each triangle. Then solve the triangle. \(a=51.41, b=37.29, c=65.88\)

Write each complex number in rectangular form. Give exact values for the real and imaginary parts. Do not use a calculator. $$5 \operatorname{cis}\left(-\frac{\pi}{6}\right)$$